On computing complex square roots of real matrices

DOI10.1016/j.aml.2012.01.015zbMath1251.65060OpenAlexW2081317921MaRDI QIDQ452988

J. Herrera, D. Rodríguez-Gómez

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.015

zbMATH Keywords

numerical examplesmatrix square rootSchur algorithmcomplex square rootsreal arithmetic

Mathematics Subject Classification ID

Matrix equations and identities (15A24) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05)

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Uses Software

• mftoolbox

Cites Work

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• Computing real square roots of a real matrix
• A Schur method for the square root of a matrix
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• On swapping diagonal blocks in real Schur form
• A Schur-Parlett Algorithm for Computing Matrix Functions
• Square roots of complex matrices
• Functions Preserving Matrix Groups and Iterations for the Matrix Square Root
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Functions of Matrices